multiply_matrix_vector

compas.geometry.multiply_matrix_vector(A, b)[source]

Multiply a matrix with a vector.

Parameters

• A (list[list[float]] | Transformation) – The matrix.

• b ([float, float, float] | Vector) – The vector.

Returns

[float, float, float] – The resulting vector.

Raises

Exception – If not all rows of the matrix have the same length as the vector.

Notes

This is a Python version of the following linear algebra procedure:

\[\mathbf{A} \cdot \mathbf{x} = \mathbf{b}\]

with \(\mathbf{A}\) a m by n matrix, \(\mathbf{x}\) a vector of length n, and \(\mathbf{b}\) a vector of length m.

Examples

>>> matrix = [[2.0, 0.0, 0.0], [0.0, 2.0, 0.0], [0.0, 0.0, 2.0]]
>>> vector = [1.0, 2.0, 3.0]
>>> multiply_matrix_vector(matrix, vector)
[2.0, 4.0, 6.0]